Averages over hypersurfaces: II
✍ Scribed by Christopher D. Sogge; Elias M. Stein
- Publisher
- Springer-Verlag
- Year
- 1986
- Tongue
- English
- Weight
- 399 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
denote the maximal operator associated with surface measure d\_ on a smooth surface S. We prove that if S is convex and has finite order contact with its tangent lines, then M is bounded on L p (R n ), p>2, if and only if d(x, H) &1 # L 1Âp loc (S) for all tangent planes H not passing through the or
For n G 4, let S be a flat hypersurface in ޒ n , and let d s d , where ϱ Ž n . g C ޒ and is the surface area measure on S. Then the maximal functions 0 Ž . < Ž . Ž . < Ž n . Mf associated to S and by Mf x s sup H f x y t d , f g S S ޒ , are t ) 0 S ⌽ Ž n . bounded on certain Orlicz spaces L ޒ